Which efficient solution in multi objective programming problem should be taken?

In practical problems, which can be stated in the form of multi objective programming problem, we have usually a large set of efficient solutions. So, which solution from this set should be taken, appears as a natural question here. In the paper we propose some sustainable principles and simple nume...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Central European journal of operations research Jg. 29; H. 3; S. 967 - 987
Hauptverfasser: Matejas, Josip, Peric, Tunjo, Mlinaric, Danijel
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2021
Springer
Springer Nature B.V
Schlagworte:
ISSN:1435-246X, 1613-9178
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Abstract In practical problems, which can be stated in the form of multi objective programming problem, we have usually a large set of efficient solutions. So, which solution from this set should be taken, appears as a natural question here. In the paper we propose some sustainable principles and simple numerical method for such choice. The method respects aspirations and priorities of decision makers and enables iterations for possible improvement of the solution. In this way decision makers can clearly understand why a particular solution is obtained and when and how it can be improved. The features of the method are explained by a practical example. An applications to bilevel programming problems are also presented, where the both side mapping, between the set of efficient solutions and the set of all possible priorities, is shown. It is illustrated in detail through several linear and nonlinear examples.
AbstractList In practical problems, which can be stated in the form of multi objective programming problem, we have usually a large set of efficient solutions. So, which solution from this set should be taken, appears as a natural question here. In the paper we propose some sustainable principles and simple numerical method for such choice. The method respects aspirations and priorities of decision makers and enables iterations for possible improvement of the solution. In this way decision makers can clearly understand why a particular solution is obtained and when and how it can be improved. The features of the method are explained by a practical example. An applications to bilevel programming problems are also presented, where the both side mapping, between the set of efficient solutions and the set of all possible priorities, is shown. It is illustrated in detail through several linear and nonlinear examples.
Audience Academic
Author Matejaš, Josip
Mlinarić, Danijel
Perić, Tunjo
Author_xml – sequence: 1
  fullname: Matejas, Josip
– sequence: 2
  fullname: Peric, Tunjo
– sequence: 3
  fullname: Mlinaric, Danijel
BookMark eNp9kV1rHSEQhqUk0Hz0D_RK6G02Vddd3asSQvoBgfSiIb0T1zO7x9NdTdQt5N93TreQJhdBdAZ5H2fG95gchBiAkPecnXPG1MfMGcaKCdxMcV3xN-SIt7yuOq70Aeaybioh259vyXHOO8YE71h7RL7fbb3bUhgG7zyEQnOcluJjoD7QeZmKp7HfgSv-N9D7FMdk59mHcZ_3E8w0b-MybWgPtNhfED6dksPBThne_Ysn5Pbz1Y_Lr9X1zZdvlxfXlZO6KZUGUI71TEjROiWZdVq0fcd5LQeotau5EBum3ACqBcUZYAa6Bw5ts-lrWZ-QD-u72MjDArmYXVxSwJJGNLLRTOK0qDpfVaOdwPgwxJKsw7WB2Tv8w8Hj_YVirex0JxsEzv4D-iX7ABmP7MdtyaNdcn4uF6vcpZhzgsHcJz_b9Gg4M3tnzOqMQWfMX2cMR0i_gJwvdv_p2JyfXkfrFc1YJ4yQnqZ-hfoDF_OkYA
CitedBy_id crossref_primary_10_1007_s10100_021_00752_7
Cites_doi 10.1007/BF01584098
10.1109/TEVC.2017.2712906
10.1007/978-3-642-45511-7
10.1007/s10100-018-0543-x
10.1109/TEVC.2015.2443057
10.1029/WR011i002p00208
10.1007/BF01584088
10.1007/978-1-4684-8395-6
10.1137/0913069
10.1007/978-3-642-48782-8_35
10.1007/s10100-016-0443-x
10.1287/mnsc.20.11.1442
10.1016/j.apm.2009.11.004
10.1016/S0165-0114(02)00362-7
10.1016/S0305-0548(02)00061-8
10.1016/j.fss.2009.02.022
10.1016/0377-2217(92)90124-R
10.1016/j.ejor.2005.08.024
10.1016/j.ejor.2006.09.053
10.1007/978-1-4613-0307-7_6
10.1016/j.amc.2014.06.050
ContentType Journal Article
Copyright Springer-Verlag GmbH Germany, part of Springer Nature 2021
COPYRIGHT 2021 Springer
Springer-Verlag GmbH Germany, part of Springer Nature 2021.
Copyright_xml – notice: Springer-Verlag GmbH Germany, part of Springer Nature 2021
– notice: COPYRIGHT 2021 Springer
– notice: Springer-Verlag GmbH Germany, part of Springer Nature 2021.
DBID AAYXX
CITATION
N95
3V.
7SC
7TB
7WY
7WZ
7XB
87Z
8AL
8AO
8FD
8FE
8FG
8FK
8FL
ABJCF
ABUWG
AFKRA
ARAPS
AZQEC
BENPR
BEZIV
BGLVJ
CCPQU
DWQXO
FR3
FRNLG
F~G
GNUQQ
H8D
HCIFZ
JQ2
K60
K6~
K7-
KR7
L.-
L6V
L7M
L~C
L~D
M0C
M0N
M7S
P5Z
P62
PHGZM
PHGZT
PKEHL
PQBIZ
PQBZA
PQEST
PQGLB
PQQKQ
PQUKI
PTHSS
Q9U
DOI 10.1007/s10100-020-00718-1
DatabaseName CrossRef
Gale Business: Insights
ProQuest Central (Corporate)
Computer and Information Systems Abstracts
Mechanical & Transportation Engineering Abstracts
ProQuest ABI/INFORM Collection
ABI/INFORM Global (PDF only)
ProQuest Central (purchase pre-March 2016)
ABI/INFORM Collection
Computing Database (Alumni Edition)
ProQuest Pharma Collection
Technology Research Database
ProQuest SciTech Collection
ProQuest Technology Collection
ProQuest Central (Alumni) (purchase pre-March 2016)
ABI/INFORM Collection (Alumni Edition)
Materials Science & Engineering Collection
ProQuest Central (Alumni)
ProQuest Central UK/Ireland
Advanced Technologies & Computer Science Collection
ProQuest Central Essentials
ProQuest Central
Business Premium Collection
Technology collection
ProQuest One Community College
ProQuest Central
Engineering Research Database
Business Premium Collection (Alumni)
ABI/INFORM Global (Corporate)
ProQuest Central Student
Aerospace Database
SciTech Premium Collection
ProQuest Computer Science Collection
ProQuest Business Collection (Alumni Edition)
ProQuest Business Collection
Computer Science Database
Civil Engineering Abstracts
ABI/INFORM Professional Advanced
ProQuest Engineering Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
ABI/INFORM Global
Computing Database
Engineering Database
Advanced Technologies & Aerospace Database
ProQuest Advanced Technologies & Aerospace Collection
ProQuest Central Premium
ProQuest One Academic
ProQuest One Academic Middle East (New)
ProQuest One Business (UW System Shared)
ProQuest One Business (Alumni)
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Applied & Life Sciences
ProQuest One Academic (retired)
ProQuest One Academic UKI Edition
Engineering collection
ProQuest Central Basic
DatabaseTitle CrossRef
ProQuest Business Collection (Alumni Edition)
Computer Science Database
ProQuest Central Student
ProQuest Advanced Technologies & Aerospace Collection
ProQuest Central Essentials
ProQuest Computer Science Collection
Computer and Information Systems Abstracts
SciTech Premium Collection
ABI/INFORM Complete
ProQuest One Applied & Life Sciences
ProQuest Central (New)
Engineering Collection
Advanced Technologies & Aerospace Collection
Business Premium Collection
ABI/INFORM Global
Engineering Database
ProQuest One Academic Eastern Edition
ProQuest Technology Collection
ProQuest Business Collection
ProQuest One Academic UKI Edition
Engineering Research Database
ProQuest One Academic
ProQuest One Academic (New)
ABI/INFORM Global (Corporate)
ProQuest One Business
Technology Collection
Technology Research Database
Computer and Information Systems Abstracts – Academic
ProQuest One Academic Middle East (New)
Mechanical & Transportation Engineering Abstracts
ProQuest Central (Alumni Edition)
ProQuest One Community College
ProQuest Pharma Collection
ProQuest Central
ABI/INFORM Professional Advanced
Aerospace Database
ProQuest Engineering Collection
ProQuest Central Korea
Advanced Technologies Database with Aerospace
ABI/INFORM Complete (Alumni Edition)
Civil Engineering Abstracts
ProQuest Computing
ABI/INFORM Global (Alumni Edition)
ProQuest Central Basic
ProQuest Computing (Alumni Edition)
ProQuest SciTech Collection
Computer and Information Systems Abstracts Professional
Advanced Technologies & Aerospace Database
Materials Science & Engineering Collection
ProQuest One Business (Alumni)
ProQuest Central (Alumni)
Business Premium Collection (Alumni)
DatabaseTitleList

ProQuest Business Collection (Alumni Edition)
Database_xml – sequence: 1
  dbid: BENPR
  name: AUTh Library subscriptions: ProQuest Central
  url: https://www.proquest.com/central
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1613-9178
EndPage 987
ExternalDocumentID A706498945
10_1007_s10100_020_00718_1
GeographicLocations Croatia
GeographicLocations_xml – name: Croatia
GroupedDBID -57
-5G
-BR
-EM
-Y2
-~C
.86
.VR
06D
0R~
0VY
203
29B
2J2
2JN
2JY
2KG
2KM
2LR
2VQ
2~H
30V
3V.
4.4
406
408
409
40D
40E
5GY
5VS
67Z
6NX
7WY
8AO
8FE
8FG
8FL
8TC
8UJ
8VB
95-
95.
95~
96X
AAAVM
AABHQ
AABXT
AACDK
AAHNG
AAIAL
AAJBT
AAJKR
AANZL
AARHV
AARTL
AASML
AATNV
AATVU
AAUYE
AAWCG
AAYIU
AAYQN
AAYTO
AAYZH
ABAKF
ABBBX
ABBXA
ABDZT
ABECU
ABFTV
ABHLI
ABHQN
ABJCF
ABJNI
ABJOX
ABKCH
ABKTR
ABMNI
ABMQK
ABNWP
ABQBU
ABQSL
ABSXP
ABTEG
ABTHY
ABTKH
ABTMW
ABULA
ABUWG
ABWNU
ABXPI
ACAOD
ACBXY
ACDTI
ACGFS
ACHSB
ACHXU
ACIWK
ACKNC
ACMDZ
ACMLO
ACOKC
ACOMO
ACPIV
ACSNA
ACZOJ
ADHHG
ADHIR
ADINQ
ADKNI
ADKPE
ADRFC
ADTPH
ADURQ
ADYFF
ADZKW
AEBTG
AEFQL
AEGAL
AEGNC
AEJHL
AEJRE
AEKMD
AEMOZ
AEMSY
AENEX
AEOHA
AEPYU
AESKC
AETLH
AEVLU
AEXYK
AFBBN
AFGCZ
AFKRA
AFLOW
AFQWF
AFWTZ
AFZKB
AGAYW
AGDGC
AGJBK
AGMZJ
AGQEE
AGQMX
AGRTI
AGWIL
AGWZB
AGYKE
AHAVH
AHBYD
AHQJS
AHSBF
AHYZX
AIAKS
AIGIU
AIIXL
AILAN
AITGF
AJBLW
AJRNO
AJZVZ
AKVCP
ALMA_UNASSIGNED_HOLDINGS
ALWAN
AMKLP
AMXSW
AMYLF
AMYQR
AOCGG
ARAPS
ARMRJ
ASPBG
AVWKF
AXYYD
AYQZM
AZFZN
AZQEC
B-.
BA0
BAPOH
BDATZ
BENPR
BEZIV
BGLVJ
BGNMA
BPHCQ
BSONS
CAG
CCPQU
COF
CS3
CSCUP
DDRTE
DNIVK
DPUIP
DWQXO
EBA
EBLON
EBO
EBR
EBS
EBU
EIOEI
EJD
EMK
EPL
ESBYG
FEDTE
FERAY
FFXSO
FIGPU
FINBP
FNLPD
FRNLG
FRRFC
FSGXE
FWDCC
GGCAI
GGRSB
GJIRD
GNUQQ
GNWQR
GQ6
GQ7
GQ8
GROUPED_ABI_INFORM_COMPLETE
GXS
H13
HCIFZ
HF~
HG5
HG6
HLICF
HMJXF
HQYDN
HRMNR
HVGLF
HZ~
IAO
IHE
IJ-
IKXTQ
IOF
ISM
ITC
IWAJR
IXC
IXD
IXE
IZIGR
IZQ
I~X
I~Z
J-C
J0Z
JBSCW
JCJTX
JZLTJ
K1G
K60
K6V
K6~
K7-
KDC
KOV
L6V
LLZTM
M0C
M0N
M4Y
M7S
MA-
N2Q
N95
NB0
NPVJJ
NQJWS
NU0
O9-
O93
O9G
O9J
OAM
P2P
P62
P9M
PF0
PQBIZ
PQBZA
PQQKQ
PROAC
PT4
PTHSS
Q2X
QOS
QWB
R89
R9I
ROL
RPX
RSV
S16
S1Z
S27
S3B
SAP
SBE
SDH
SHX
SISQX
SJYHP
SNE
SNPRN
SNX
SOHCF
SOJ
SPISZ
SRMVM
SSLCW
STPWE
SZN
T13
TH9
TSG
TSK
TSV
TUC
U2A
UG4
UOJIU
UTJUX
UZXMN
VC2
VFIZW
W23
W48
WK8
YLTOR
Z45
Z81
ZL0
ZMTXR
~8M
AAPKM
AAYXX
ABBRH
ABDBE
ABFSG
ABRTQ
ACSTC
ADHKG
AEZWR
AFDZB
AFFHD
AFHIU
AFOHR
AGQPQ
AHPBZ
AHWEU
AIXLP
AMVHM
ATHPR
AYFIA
BAAKF
CITATION
PHGZM
PHGZT
PQGLB
7SC
7TB
7XB
8AL
8FD
8FK
FR3
H8D
JQ2
KR7
L.-
L7M
L~C
L~D
PKEHL
PQEST
PQUKI
Q9U
ID FETCH-LOGICAL-c485t-8ee7c0b02426c740ac826b91134fe38c3122d07cfe76e710ecfee8be1e65db343
IEDL.DBID BENPR
ISICitedReferencesCount 1
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000612265700001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 1435-246X
IngestDate Tue Nov 25 13:21:10 EST 2025
Sat Nov 29 10:10:40 EST 2025
Sat Nov 29 09:05:11 EST 2025
Sat Nov 29 02:57:33 EST 2025
Tue Nov 18 21:43:46 EST 2025
Fri Feb 21 02:47:56 EST 2025
IsPeerReviewed true
IsScholarly true
Issue 3
Keywords Multi objective programming problem
Bilevel programming problem
Efficient solution
Aspiration
Priority
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c485t-8ee7c0b02426c740ac826b91134fe38c3122d07cfe76e710ecfee8be1e65db343
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0002-4342-0633
PQID 2545804246
PQPubID 46921
PageCount 21
ParticipantIDs proquest_journals_2545804246
gale_infotracacademiconefile_A706498945
gale_businessinsightsgauss_A706498945
crossref_primary_10_1007_s10100_020_00718_1
crossref_citationtrail_10_1007_s10100_020_00718_1
springer_journals_10_1007_s10100_020_00718_1
PublicationCentury 2000
PublicationDate 2021-09-01
PublicationDateYYYYMMDD 2021-09-01
PublicationDate_xml – month: 09
  year: 2021
  text: 2021-09-01
  day: 01
PublicationDecade 2020
PublicationPlace Berlin/Heidelberg
PublicationPlace_xml – name: Berlin/Heidelberg
– name: Heidelberg
PublicationSubtitle CEJOR
PublicationTitle Central European journal of operations research
PublicationTitleAbbrev Cent Eur J Oper Res
PublicationYear 2021
Publisher Springer Berlin Heidelberg
Springer
Springer Nature B.V
Publisher_xml – name: Springer Berlin Heidelberg
– name: Springer
– name: Springer Nature B.V
References Benayoun, de Montgolfier, Tergny, Larichev (CR4) 1971; 1
MacCrimmon, Cochrane, Zeleny (CR21) 1973
CR15
Bell, Keeney, Raiffa (CR3) 1977
Matejaš, Perić (CR22) 2014; 243
Sinha, Malo, Deb, Korhonen, Wallenius (CR32) 2016; 20
Sinha (CR31) 2003; 136
Lai, Hwang (CR19) 1996
Mishra (CR24) 2007; 183
Sinha (CR30) 2003; 30
Lee (CR20) 1972
Perić, Babić, Rešić, Mladenović, Sifaleras, Kuzmanović (CR27) 2019
Figueira, Greco, Ehrgott (CR11) 2005
Sinha, Malo, Deb (CR33) 2018; 22
Baky (CR2) 2010; 34
Hwang, Masud (CR16) 1979
Starr, Zeleny (CR34) 1977
Fishburn (CR13) 1974; 20
Ignizio (CR17) 1976
Yu (CR37) 1985
CR8
Fandel, Spronk (CR10) 1985
CR9
Lachwani (CR18) 2014; 51
Baky (CR1) 2009; 160
Perić, Babić, Matejaš (CR26) 2018; 26
Steuer (CR35) 1985
Pramanik, Roy (CR28) 2007; 176
CR23
Cohon, Marks (CR7) 1975; 11
Chankong, Haimes (CR5) 1983
Filatovas, Lančinskas, Kurasova, Žilinskas (CR12) 2017; 25
Osman, Gadalla, Zeanedean, Rabie (CR25) 2013; 3
Roy (CR29) 1971; 1
Zionts, Fandel, Gal (CR38) 1980
Charnes, Cooper (CR6) 1961
Wen, Hsu (CR36) 1991; 62
Hansen, Jaumard, Savard (CR14) 1992; 13
A Sinha (718_CR33) 2018; 22
B Roy (718_CR29) 1971; 1
(718_CR10) 1985
E Filatovas (718_CR12) 2017; 25
S Sinha (718_CR31) 2003; 136
A Charnes (718_CR6) 1961
S Sinha (718_CR30) 2003; 30
PL Yu (718_CR37) 1985
S Zionts (718_CR38) 1980
(718_CR34) 1977
JL Cohon (718_CR7) 1975; 11
A Sinha (718_CR32) 2016; 20
IA Baky (718_CR1) 2009; 160
(718_CR11) 2005
718_CR15
IA Baky (718_CR2) 2010; 34
P Hansen (718_CR14) 1992; 13
CL Hwang (718_CR16) 1979
T Perić (718_CR27) 2019
UP Wen (718_CR36) 1991; 62
V Chankong (718_CR5) 1983
J Matejaš (718_CR22) 2014; 243
718_CR9
718_CR8
S Mishra (718_CR24) 2007; 183
KR MacCrimmon (718_CR21) 1973
T Perić (718_CR26) 2018; 26
RE Steuer (718_CR35) 1985
SM Lee (718_CR20) 1972
YJ Lai (718_CR19) 1996
RJ Benayoun (718_CR4) 1971; 1
718_CR23
S Pramanik (718_CR28) 2007; 176
K Lachwani (718_CR18) 2014; 51
PC Fishburn (718_CR13) 1974; 20
(718_CR3) 1977
MS Osman (718_CR25) 2013; 3
JP Ignizio (718_CR17) 1976
References_xml – volume: 1
  start-page: 366
  issue: 3
  year: 1971
  end-page: 375
  ident: CR4
  article-title: Linear programming with multiple objective functions step method (STEM)
  publication-title: Math Program
  doi: 10.1007/BF01584098
– volume: 22
  start-page: 276
  issue: 2
  year: 2018
  end-page: 295
  ident: CR33
  article-title: A review on bilevel optimization: from classical to evolutionary approaches and applications
  publication-title: IEEE Trans Evol Comput
  doi: 10.1109/TEVC.2017.2712906
– year: 1961
  ident: CR6
  publication-title: Management models and industrial applications of linear programming I
– year: 1985
  ident: CR10
  publication-title: Multiple criteria decision: methods and applications
– year: 1977
  ident: CR34
  publication-title: Multiple Criteria Decision Making – TIMS Studies in the Management Sciences
– year: 1972
  ident: CR20
  publication-title: Goal programming for decision analysis
– year: 1979
  ident: CR16
  publication-title: Multiple objective decision making: methods and applications
  doi: 10.1007/978-3-642-45511-7
– volume: 26
  start-page: 565
  issue: 3
  year: 2018
  end-page: 583
  ident: CR26
  article-title: Comparative analysis of application efficiency of two iterative multi objective linear programming methods (MP method and STEM method)
  publication-title: CEJOR
  doi: 10.1007/s10100-018-0543-x
– volume: 3
  start-page: 927
  issue: 6
  year: 2013
  end-page: 936
  ident: CR25
  article-title: A compromise weighted solution for multilevel linear programming problems
  publication-title: Int. J Eng Res Appl
– volume: 51
  start-page: 624
  issue: 4
  year: 2014
  end-page: 637
  ident: CR18
  article-title: On solving multi-level multi objective linear programming problems through fuzzy goal programming approach
  publication-title: J Oper Res Soc India, Opsearch
– year: 2005
  ident: CR11
  publication-title: Multiple criteria decision analysis. State of the art surveys
– volume: 20
  start-page: 199
  issue: 2
  year: 2016
  end-page: 217
  ident: CR32
  article-title: Solving bilevel multi-criterion optimization problems with lower level decision uncertainty
  publication-title: IEEE Trans Evol Comput
  doi: 10.1109/TEVC.2015.2443057
– year: 1983
  ident: CR5
  publication-title: Multiobjective decision making: theory and methodology
– volume: 11
  start-page: 208
  issue: 2
  year: 1975
  end-page: 220
  ident: CR7
  article-title: A review and evaluation of multiobjecctive programming techniques
  publication-title: Water Resour Res
  doi: 10.1029/WR011i002p00208
– volume: 1
  start-page: 239
  issue: 2
  year: 1971
  end-page: 266
  ident: CR29
  article-title: Problems and methods with multiple objective functions
  publication-title: Math Program
  doi: 10.1007/BF01584088
– ident: CR8
– year: 1996
  ident: CR19
  publication-title: Fuzzy multiple objective decision making
– year: 1976
  ident: CR17
  publication-title: Goal programming and extensions
– ident: CR23
– year: 1985
  ident: CR37
  publication-title: Multiple criteria decision making—concepts, techniques and extensions
  doi: 10.1007/978-1-4684-8395-6
– volume: 243
  start-page: 746
  year: 2014
  end-page: 754
  ident: CR22
  article-title: A new iterative method for solving multiobjective linear programming problem
  publication-title: Appl Math Comput
– volume: 13
  start-page: 1194
  year: 1992
  end-page: 1217
  ident: CR14
  article-title: New branch-and-bound rules for linear bilevel programming
  publication-title: SIAM J Sci Stat Comput
  doi: 10.1137/0913069
– start-page: 540
  year: 1980
  end-page: 558
  ident: CR38
  article-title: Methods for solving management problems involving multiple objectives
  publication-title: Multiple criteria decision making theory and application. Lecture notes in economics and mathematical systems
  doi: 10.1007/978-3-642-48782-8_35
– volume: 25
  start-page: 859
  issue: 4
  year: 2017
  end-page: 878
  ident: CR12
  article-title: A preference-based multi-objective evolutionary algorithm R-NSGA-II with stochastic local search
  publication-title: CEJOR
  doi: 10.1007/s10100-016-0443-x
– volume: 20
  start-page: 1442
  issue: 11
  year: 1974
  end-page: 1471
  ident: CR13
  article-title: Lexicographic orders, utilities and decision rules: a survey
  publication-title: Manage Sci
  doi: 10.1287/mnsc.20.11.1442
– volume: 34
  start-page: 2377
  year: 2010
  end-page: 2387
  ident: CR2
  article-title: Solving multi-level multi-objective linear programming problems through fuzzy goal programming approach
  publication-title: Appl Math Model
  doi: 10.1016/j.apm.2009.11.004
– ident: CR15
– volume: 136
  start-page: 189
  year: 2003
  end-page: 202
  ident: CR31
  article-title: Fuzzy programming approach to multi-level programming problems
  publication-title: Fuzzy Sets Syst
  doi: 10.1016/S0165-0114(02)00362-7
– volume: 30
  start-page: 1259
  year: 2003
  end-page: 1268
  ident: CR30
  article-title: Fuzzy mathematical programming applied to multi-level programming problems
  publication-title: Comput Oper Res
  doi: 10.1016/S0305-0548(02)00061-8
– volume: 160
  start-page: 2701
  year: 2009
  end-page: 2713
  ident: CR1
  article-title: Fuzzy goal programming algorithm for solving decentralized bi-level multi-objective programming problems
  publication-title: Fuzzy Sets Syst
  doi: 10.1016/j.fss.2009.02.022
– year: 1985
  ident: CR35
  publication-title: Multiple criteria optimization
– ident: CR9
– volume: 62
  start-page: 354
  year: 1991
  end-page: 362
  ident: CR36
  article-title: Efficient solutions for the linear bilevel programming problem
  publication-title: Eur J Oper Res
  doi: 10.1016/0377-2217(92)90124-R
– start-page: 18
  year: 1973
  end-page: 44
  ident: CR21
  article-title: An overview of multiple objective decision making
  publication-title: Multiple criteria decision making
– volume: 176
  start-page: 1151
  year: 2007
  end-page: 1166
  ident: CR28
  article-title: Fuzzy goal programming approach to multilevel programming problems
  publication-title: Eur J Oper Res
  doi: 10.1016/j.ejor.2005.08.024
– year: 1977
  ident: CR3
  publication-title: Conflicting Objectives in Decision
– start-page: 125
  year: 2019
  end-page: 135
  ident: CR27
  article-title: A fuzzy linear programming approach to solve bi- level multi-objective linear programming problems
  publication-title: Advances in operational research in the balcans
– volume: 183
  start-page: 296
  year: 2007
  end-page: 302
  ident: CR24
  article-title: Weighting method for bi-level linear fractional programming problems
  publication-title: Eur J Oper Res
  doi: 10.1016/j.ejor.2006.09.053
– start-page: 125
  volume-title: Advances in operational research in the balcans
  year: 2019
  ident: 718_CR27
– ident: 718_CR8
  doi: 10.1007/978-1-4613-0307-7_6
– volume: 3
  start-page: 927
  issue: 6
  year: 2013
  ident: 718_CR25
  publication-title: Int. J Eng Res Appl
– volume: 183
  start-page: 296
  year: 2007
  ident: 718_CR24
  publication-title: Eur J Oper Res
  doi: 10.1016/j.ejor.2006.09.053
– volume: 25
  start-page: 859
  issue: 4
  year: 2017
  ident: 718_CR12
  publication-title: CEJOR
  doi: 10.1007/s10100-016-0443-x
– volume-title: Multiple Criteria Decision Making – TIMS Studies in the Management Sciences
  year: 1977
  ident: 718_CR34
– volume: 30
  start-page: 1259
  year: 2003
  ident: 718_CR30
  publication-title: Comput Oper Res
  doi: 10.1016/S0305-0548(02)00061-8
– volume: 160
  start-page: 2701
  year: 2009
  ident: 718_CR1
  publication-title: Fuzzy Sets Syst
  doi: 10.1016/j.fss.2009.02.022
– volume: 62
  start-page: 354
  year: 1991
  ident: 718_CR36
  publication-title: Eur J Oper Res
  doi: 10.1016/0377-2217(92)90124-R
– volume: 51
  start-page: 624
  issue: 4
  year: 2014
  ident: 718_CR18
  publication-title: J Oper Res Soc India, Opsearch
– ident: 718_CR23
– volume: 20
  start-page: 1442
  issue: 11
  year: 1974
  ident: 718_CR13
  publication-title: Manage Sci
  doi: 10.1287/mnsc.20.11.1442
– volume-title: Fuzzy multiple objective decision making
  year: 1996
  ident: 718_CR19
– volume: 20
  start-page: 199
  issue: 2
  year: 2016
  ident: 718_CR32
  publication-title: IEEE Trans Evol Comput
  doi: 10.1109/TEVC.2015.2443057
– volume-title: Multiple criteria decision analysis. State of the art surveys
  year: 2005
  ident: 718_CR11
– start-page: 18
  volume-title: Multiple criteria decision making
  year: 1973
  ident: 718_CR21
– volume-title: Multiple criteria optimization
  year: 1985
  ident: 718_CR35
– volume-title: Multiple criteria decision: methods and applications
  year: 1985
  ident: 718_CR10
– volume-title: Multiple objective decision making: methods and applications
  year: 1979
  ident: 718_CR16
  doi: 10.1007/978-3-642-45511-7
– ident: 718_CR15
– volume: 243
  start-page: 746
  year: 2014
  ident: 718_CR22
  publication-title: Appl Math Comput
  doi: 10.1016/j.amc.2014.06.050
– volume: 136
  start-page: 189
  year: 2003
  ident: 718_CR31
  publication-title: Fuzzy Sets Syst
  doi: 10.1016/S0165-0114(02)00362-7
– ident: 718_CR9
– volume: 1
  start-page: 366
  issue: 3
  year: 1971
  ident: 718_CR4
  publication-title: Math Program
  doi: 10.1007/BF01584098
– volume: 176
  start-page: 1151
  year: 2007
  ident: 718_CR28
  publication-title: Eur J Oper Res
  doi: 10.1016/j.ejor.2005.08.024
– volume-title: Conflicting Objectives in Decision
  year: 1977
  ident: 718_CR3
– volume-title: Goal programming and extensions
  year: 1976
  ident: 718_CR17
– volume: 34
  start-page: 2377
  year: 2010
  ident: 718_CR2
  publication-title: Appl Math Model
  doi: 10.1016/j.apm.2009.11.004
– volume: 11
  start-page: 208
  issue: 2
  year: 1975
  ident: 718_CR7
  publication-title: Water Resour Res
  doi: 10.1029/WR011i002p00208
– volume: 22
  start-page: 276
  issue: 2
  year: 2018
  ident: 718_CR33
  publication-title: IEEE Trans Evol Comput
  doi: 10.1109/TEVC.2017.2712906
– volume-title: Goal programming for decision analysis
  year: 1972
  ident: 718_CR20
– volume: 1
  start-page: 239
  issue: 2
  year: 1971
  ident: 718_CR29
  publication-title: Math Program
  doi: 10.1007/BF01584088
– volume-title: Multiple criteria decision making—concepts, techniques and extensions
  year: 1985
  ident: 718_CR37
  doi: 10.1007/978-1-4684-8395-6
– volume: 13
  start-page: 1194
  year: 1992
  ident: 718_CR14
  publication-title: SIAM J Sci Stat Comput
  doi: 10.1137/0913069
– volume-title: Management models and industrial applications of linear programming I
  year: 1961
  ident: 718_CR6
– volume: 26
  start-page: 565
  issue: 3
  year: 2018
  ident: 718_CR26
  publication-title: CEJOR
  doi: 10.1007/s10100-018-0543-x
– start-page: 540
  volume-title: Multiple criteria decision making theory and application. Lecture notes in economics and mathematical systems
  year: 1980
  ident: 718_CR38
  doi: 10.1007/978-3-642-48782-8_35
– volume-title: Multiobjective decision making: theory and methodology
  year: 1983
  ident: 718_CR5
SSID ssj0021906
Score 2.2188075
Snippet In practical problems, which can be stated in the form of multi objective programming problem, we have usually a large set of efficient solutions. So, which...
SourceID proquest
gale
crossref
springer
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 967
SubjectTerms Business and Management
Decision making
Mathematical optimization
Mathematical research
Methods
Numerical methods
Operations research
Operations Research/Decision Theory
Priorities
Programming
SummonAdditionalLinks – databaseName: Springer Journals
  dbid: RSV
  link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LT8MwDI4QcIADb8RgoBxAHKBS26SPndCEmDhNk3jtFiWZy8ajQ-vG78fJ0j14SXCpKtVpUyex49j-TMhxzFPtcya9QGfM4yAzL5Uy8kIp4xqozAelbLGJpNlM2-1ayyWFFWW0e-mStJJ6JtktMFnQocmERonqoc2zFBm0GWOj39xPzCxUceOcIoaf5HHbpcp8_445dfRZKH_xjlql01j_X3c3yJrbZNL6eFZskgXIt8jqDPTgNmk9dHu6S8EiSKDioeUcpL2c2ihD2ldPY2lIXRDXK7akrgINLbqmODZVQIfyGfKLHXLXuLq9vPZcdQVP8zQaeilAon1ldbROuC81WhoKZR_jGbBUsyAMO36iM0hiwH0I4B2kCgKIo45inO2Sxbyfwx6hfmpOUiXTIcS8prJaKFEMJAEwluCABxUSlEwW2kGPmwoYL2IKmmy4JZBbwnJLYJuzSZu3MfDGr9QnZuyEq9yJl8KcbRSPclQUop7gxssgzUcVcmrpzOrFHmjpkhDwPwwO1hxltZwGwi3rQoTGzWicxXGFnJfDPn38c__2_0Z-QFZCEztjY9mqZHE4GMEhWdbvw14xOLLT_QNdFvhj
  priority: 102
  providerName: Springer Nature
Title Which efficient solution in multi objective programming problem should be taken?
URI https://link.springer.com/article/10.1007/s10100-020-00718-1
https://www.proquest.com/docview/2545804246
Volume 29
WOSCitedRecordID wos000612265700001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVAVX
  databaseName: Springer Nature - Connect here FIRST to enable access
  customDbUrl:
  eissn: 1613-9178
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0021906
  issn: 1435-246X
  databaseCode: RSV
  dateStart: 20060201
  isFulltext: true
  titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22
  providerName: Springer Nature
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LT9wwELZ49NAegL7UBYp8KOqhtZrETpw9IUCgSlVXK6Bl24tleyfd5ZEFsvT3d8brsKVVufQyShQ7cTKTGXs8Mx9jbwpV-kRJK1JfSaHAVqK0NheZtUUXXJWAcwFsQvd65WDQ7UeHWxPDKludGBT1cOLJR_4hox0e2qcrdq6uBaFG0e5qhNBYZMtUqQzlfHnvoNc_ultyobmb5RdJfLwqBjFtJibPpZRVnVFmNWpokd4zTX8q6L92SoMBOlz936GvsZU49eS7M1l5yhagfsae_FaQ8Dnrn47GfsQh1JVAc8RbyeTjmofYQz5xZzMdyWNo1yX25BGXhjcjgszmDvjUnkO984J9OTw42f8oIuaC8KrMp6IE0D5xwXJ7rRLrcf3hUCNKVYEsvUyzbJhoX4EuAGcngEdQOkihyIdOKvmSLdWTGl4xnpTkX7XSZ1Corqu6mUXloFOQUqMYpB2Wtp_b-FiQnHAxLsy8lDKxyCCLTGCRwT7v7vpczcpxPNh6m7hoIp4nkoY8Hs0Pe9s0ZlfjdIzqz-cd9ja0o38aR-BtTE3A96DqWPdabrYsNvFnb8ycvx32vhWS-eV_j2_94bttsMcZRdCEiLZNtjS9uYXX7JH_OR03N1tsUZ9-24oCj2eftED6Odknqo-R9vPvSI-Ov_4CaQYJ0A
linkProvider ProQuest
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Lb9QwEB6VggQceCMWCvhAxQGiJrY3yR5QVRWqVm1XPRSxN2N7J-zyyJZmC-JP8RuZcZwuBdFbD1yiSLEtO_5mPj_mAfAs16VPtbJJ5iuVaLRVUlrbT6S1-QBdlaJzIdlEMRyWo9HgYAl-dr4wbFbZ6cSgqMczz2fka5JvePieLl8_-ppw1ii-Xe1SaLSw2MUf32nL1rzaeU3zuyrl1pvDze0kZhVIvC7786RELHzqAjf5QqfW0wrbkcwrXaEqvcqkHKeFr7DIkfgX6Q1Lhxnm_bFTWlG7l-Cypo0Xy9V-unm6wSNybb2ZFA1W56PopBNd9TL24Zbsx018kGRniPBPOvjrXjbQ3dbN_-1H3YIbcWEtNlpJuA1LWN-B67-FW7wLB-8mUz8RGKJmENmKTu7EtBbBslLM3MeWAUQ0XPtCNUXMuiOaCScEFw7F3H7Cev0evL2QId2H5XpW4wMQacmnx1Z5ibkeuGogLam-IkOlCgJ51oOsm17jY7h1zvrx2SwCRTMkDEHCBEgYqvPitM5RG2zk3NKrjBoTs5XSo-HznOaDPWkas1HQYpOj6_d78DyUY41FPfA2Ol7QODj215mSKx2kTFRljVngqQcvO1AuPv-7fw_Pb-0pXN0-3N8zezvD3UdwTbKtULDdW4Hl-fEJPoYr_tt82hw_CUIm4P1Fg_UX63BgOA
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1LbxMxEB6VghAceCMCBXyg4gCr7treRw6oqigRVVGUA4iIi7GdWRIeSemmIP4av44Zr7ehIHrrgctqpbUte_15PtvzAnhU6MqnWtkk87VKNNo6qazNE2lt0UdXp-hcSDZRDofVeNwfrcHPzheGzSo7mRgE9WTh-Y58S7KGh_V0xVYdzSJGu4Ptg68JZ5BiTWuXTqOFyD7--E7Ht-bZ3i7N9aaUgxevn79MYoaBxOsqXyYVYulTF3jKlzq1nnbbjta_0jWqyqtMykla-hrLAomLkd6wcphhkU-c0oraPQfnS11UbE42yt8dH_aIaFvPJkUD18U4OuxEt72M_bkl-3QTNyTZCVL8kxr-0tEG6htc_Z9_2jW4EjfcYqddIddhDec34PJvYRhvwujtdOanAkM0DSJh0a1HMZuLYHEpFu5jywwiGrR9oZoiZuMRzZQThQuHYmk_4Xz7Frw5kyHdhvX5Yo53QKQV3ypb5SUWuu_qvrQkEssMlSoJ_FkPsm6qjY9h2DkbyGezCiDN8DAEDxPgYajOk-M6B20QklNLbzKCTMxiSo-G73maD_aoacxOSZtQjrqf9-BxKMeSjHrgbXTIoHFwTLATJTc6eJko4hqzwlYPnnYAXX3-d__unt7aQ7hIGDWv9ob79-CSZBOiYNK3AevLwyO8Dxf8t-WsOXwQ1puA92eN1V92TmlI
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Which+efficient+solution+in+multi+objective+programming+problem+should+be+taken%3F&rft.jtitle=Central+European+journal+of+operations+research&rft.au=Mateja%C5%A1+Josip&rft.au=Tunjo%2C+Peri%C4%87&rft.au=Mlinari%C4%87+Danijel&rft.date=2021-09-01&rft.pub=Springer+Nature+B.V&rft.issn=1435-246X&rft.eissn=1613-9178&rft.volume=29&rft.issue=3&rft.spage=967&rft.epage=987&rft_id=info:doi/10.1007%2Fs10100-020-00718-1&rft.externalDBID=HAS_PDF_LINK
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1435-246X&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1435-246X&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1435-246X&client=summon